How many moles of gas are in a 4.5 meter cylinder at 105K with a pressure of 2.0atm?

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How many moles of gas are in a 4.5 meter cylinder at 105K with a pressure of 2.0atm?

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Answer 1 · 2018-04-05T16:02:48

$n = 1044.53$ $n=1044.53$ $m o l$ $mol$

Explanation:

Assuming that the $4.5$ $4.5$ $m$ $m$ you talk about are actually $4.5$ $4.5$ $m^{3}$ $m^3$ (so it's the cylinder's volume):

$p V = n R T$ $pV=nRT$

Where:
$p$ $p$ is the pressure.
$V$ $V$ is the volum.
$n$ $n$ is the number of mols.
$R$ $R$ is the gas constant.
$T$ $T$ is the temperature.

$2 \cdot 4.5 = n \cdot 8.206 \cdot 10^{- 5} \cdot 105$ $2·4.5=n·8.206·10^(-5)·105$

$n = 1044.53$ $n=1044.53$ $m o l$ $mol$

Note: the gas constant changes with the units you use, if you use $m^{3}$ $m^3$ , $a t m$ $atm$ , $K$ $K$ and $m o l$ $mol$ ; it is $8.206 \cdot 10^{- 5}$ $8.206·10^(-5)$ . If not, you must check the value it takes.

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How many moles of gas are in a 4.5 meter cylinder at 105K with a pressure of 2.0atm?

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